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    "# Simulating baseball in Python\n",
    "\n",
    "This notebook provides the methodology and code used in the blog post, [How much does batting order matter in Major League Baseball? A simulation approach](http://www.randalolson.com/2018/07/04/does-batting-order-matter-in-major-league-baseball-a-simulation-approach).\n",
    "\n",
    "### Notebook by [Randal S. Olson](http://www.randalolson.com)\n",
    "\n",
    "Please see the [repository README file](https://github.com/rhiever/Data-Analysis-and-Machine-Learning-Projects#license) for the licenses and usage terms for the instructional material and code in this notebook. In general, I have licensed this material so that it is as widely useable and shareable as possible.\n",
    "\n",
    "### Required Python libraries\n",
    "\n",
    "If you don't have Python on your computer, you can use the [Anaconda Python distribution](https://www.anaconda.com/download/) to install most of the Python packages you need. Anaconda provides a simple double-click installer for your convenience.\n",
    "\n",
    "This code uses base Python libraries except for `seaborn`, `tqdm`, and `joblib` packages. You can install these packages using `pip` by typing the following commands into your command line:\n",
    "\n",
    "> pip install seaborn tqdm joblib\n",
    "\n",
    "### Using the baseball simulator\n",
    "\n",
    "Below is the Python code used to simulate baseball in my blog post, run the simulations, and generate the data visualizations shown in my blog post. When I get more time, I plan to clean up and comment this code better than it currently is.\n",
    "\n",
    "For the data visualizations, you will need to place [this tableau10.mplstyle](https://gist.github.com/rhiever/d0a7332fe0beebfdc3d5) in your `~/.matplotlib/stylelib/` directory for the visualizations to show up as they do in my blog post. Otherwise, you will have to use [other matplotlib styles](https://matplotlib.org/users/style_sheets.html).\n",
    "\n",
    "If you have any comments or questions about this project, I prefer that you [file an issue](https://github.com/rhiever/Data-Analysis-and-Machine-Learning-Projects/issues/new) on this GitHub repository. If you don't feel comfortable with GitHub, feel free to [contact me by email](http://www.randalolson.com/contact/)."
   ]
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    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "import numpy as np\n",
    "from tqdm import tqdm_notebook as tqdm\n",
    "from joblib import Parallel, delayed\n",
    "import time\n",
    "\n",
    "# ParallelExecutor code taken and modified from https://gist.github.com/MInner/12f9cf961059aed1a60e72c5531a697f\n",
    "def text_progessbar(seq, total=None):\n",
    "    step = 1\n",
    "    tick = time.time()\n",
    "    while True:\n",
    "        time_diff = time.time() - tick\n",
    "        avg_speed = time_diff / step\n",
    "        total_str = 'of {}'.format(total if total else '')\n",
    "        print('step', step, '{}'.format(round(time_diff, 2)), 'avg: {} iter/sec'.format(round(avg_speed)), total_str)\n",
    "        step += 1\n",
    "        yield next(seq)\n",
    "\n",
    "all_bar_funcs = {\n",
    "    'tqdm': lambda args: lambda x: tqdm(x, **args),\n",
    "    'txt': lambda args: lambda x: text_progessbar(x, **args),\n",
    "    'False': lambda args: iter,\n",
    "    'None': lambda args: iter,\n",
    "}\n",
    "\n",
    "def ParallelExecutor(use_bar='tqdm', **joblib_args):\n",
    "    def aprun(bar=use_bar, **tq_args):\n",
    "        def tmp(op_iter):\n",
    "            if str(bar) in all_bar_funcs.keys():\n",
    "                bar_func = all_bar_funcs[str(bar)](tq_args)\n",
    "            else:\n",
    "                raise ValueError('Value {} not supported as bar type'.format(bar))\n",
    "            return Parallel(**joblib_args)(bar_func(op_iter))\n",
    "        return tmp\n",
    "    return aprun\n",
    "\n",
    "def simulate_game(batters, return_stats=False):\n",
    "    '''Simulates the batting side of a Major League Baseball game\n",
    "    \n",
    "    This is a simplified simulation of a baseball game, where each batter performs randomly\n",
    "    according to their corresponding batting average. This simulation incorporates\n",
    "    different types of hits, such as singles, doubles, triples, and home runs, and uses\n",
    "    2017-2018 Major League averages for the probabilities of those hit types occurring.\n",
    "    This simulation leaves out other aspects of the game, such as individual-level hit type\n",
    "    tendencies, double plays, stolen bases, errors, and so forth.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    batters: list\n",
    "        A list of batting averages for 9 batters in the desired batting order\n",
    "        Example input: [0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25]\n",
    "\n",
    "    Returns\n",
    "    ----------\n",
    "    runs_scored: int\n",
    "        The number of runs scored by the batters in one simulated game\n",
    "    batting_stats: dict\n",
    "        Dictionary containing batting statistics for each batter\n",
    "    '''\n",
    "    runs_scored = 0\n",
    "    batter_num = 0\n",
    "\n",
    "    # NOTE: Earned Bases is the total number of bases that the batter advanced themselves\n",
    "    #       AND their teammates through batting\n",
    "    batting_stats = {}\n",
    "    for batter in range(len(batters)):\n",
    "        batting_stats[batter] = {\n",
    "            'At Bat': 0, 'Single': 0, 'Double': 0, 'Triple': 0, 'Home Run': 0, 'Out': 0,\n",
    "            'RBI': 0, 'Earned Bases': 0, 'Players On Base': 0, 'Bases Loaded': 0, 'Grand Slam': 0\n",
    "        }\n",
    "\n",
    "    # Assume the game lasts for only 9 innings (no extra innings)\n",
    "    for inning in range(9):\n",
    "        bases = [\n",
    "            False, # First base, index 0\n",
    "            False, # Second base, index 1\n",
    "            False  # Third base, index 2\n",
    "        ]\n",
    "        batters_out = 0\n",
    "\n",
    "        while batters_out < 3:\n",
    "            batting_stats[batter_num]['At Bat'] += 1\n",
    "            if bases[2] and bases[1] and bases[0]:\n",
    "                batting_stats[batter_num]['Bases Loaded'] += 1\n",
    "\n",
    "            if bases[2]:\n",
    "                batting_stats[batter_num]['Players On Base'] += 1\n",
    "            if bases[1]:\n",
    "                batting_stats[batter_num]['Players On Base'] += 1\n",
    "            if bases[0]:\n",
    "                batting_stats[batter_num]['Players On Base'] += 1\n",
    "\n",
    "            if np.random.random() < batters[batter_num]:\n",
    "                # Batting estimates from MLB.com statistics in 2017/2018 seasons:\n",
    "                #     Single base hit: 64% of hits\n",
    "                #     Double base hit: 20% of hits\n",
    "                #     Triple base hit: 2% of hits\n",
    "                #     Home run: 14% of hits\n",
    "                hit_type = np.random.choice(['Single', 'Double', 'Triple', 'Home Run'], p=[.64, .2, .02, .14])\n",
    "\n",
    "                if hit_type == 'Single':\n",
    "                    batting_stats[batter_num]['Single'] += 1\n",
    "\n",
    "                    # All base runners advance 1 base\n",
    "                    if bases[2]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "                        bases[2] = False\n",
    "                    if bases[1]:\n",
    "                        bases[2] = True\n",
    "                        bases[1] = False\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "                    if bases[0]:\n",
    "                        bases[1] = True\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "\n",
    "                    bases[0] = True\n",
    "                    batting_stats[batter_num]['Earned Bases'] += 1\n",
    "\n",
    "                elif hit_type == 'Double':\n",
    "                    batting_stats[batter_num]['Double'] += 1\n",
    "\n",
    "                    # All base runners advance 2 bases\n",
    "                    if bases[2]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "                        bases[2] = False\n",
    "                    if bases[1]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 2\n",
    "                        bases[1] = False\n",
    "                    if bases[0]:\n",
    "                        bases[2] = True\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 2\n",
    "                        bases[0] = False\n",
    "\n",
    "                    bases[1] = True\n",
    "                    batting_stats[batter_num]['Earned Bases'] += 2\n",
    "\n",
    "                elif hit_type == 'Triple':\n",
    "                    batting_stats[batter_num]['Triple'] += 1\n",
    "\n",
    "                    # All base runners advance 3 bases\n",
    "                    if bases[2]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "                        bases[2] = False\n",
    "                    if bases[1]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 2\n",
    "                        bases[1] = False\n",
    "                    if bases[0]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 3\n",
    "                        bases[0] = False\n",
    "\n",
    "                    bases[2] = True\n",
    "                    batting_stats[batter_num]['Earned Bases'] += 3\n",
    "\n",
    "                elif hit_type == 'Home Run':\n",
    "                    batting_stats[batter_num]['Home Run'] += 1\n",
    "\n",
    "                    # Check if a Grand Slam was scored\n",
    "                    if bases[0] and bases[1] and bases[2]:\n",
    "                        batting_stats[batter_num]['Grand Slam'] += 1\n",
    "\n",
    "                    # All base runners and the hitter score a run\n",
    "                    if bases[2]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 1\n",
    "                        bases[2] = False\n",
    "                    if bases[1]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 2\n",
    "                        bases[1] = False\n",
    "                    if bases[0]:\n",
    "                        runs_scored += 1\n",
    "                        batting_stats[batter_num]['RBI'] += 1\n",
    "                        batting_stats[batter_num]['Earned Bases'] += 3\n",
    "                        bases[0] = False\n",
    "\n",
    "                    runs_scored += 1\n",
    "                    batting_stats[batter_num]['RBI'] += 1\n",
    "                    batting_stats[batter_num]['Earned Bases'] += 4\n",
    "\n",
    "            else:\n",
    "                # Batter struck out, flew out, or grounded out\n",
    "                batters_out += 1\n",
    "                batting_stats[batter_num]['Out'] += 1\n",
    "\n",
    "            batter_num = (batter_num + 1) % len(batters)\n",
    "\n",
    "    return runs_scored, batting_stats"
   ]
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      "\n"
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   "source": [
    "designated_hitter_spot_scores = {}\n",
    "num_simulated_games = 1000000\n",
    "for team_avg in tqdm([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    for designated_hitter_spot in range(9):\n",
    "        batters = [team_avg] * 9\n",
    "        batters[designated_hitter_spot] = 0.35\n",
    "        aprun = ParallelExecutor(n_jobs=-1, use_bar=False)\n",
    "        designated_hitter_spot_scores[(team_avg, designated_hitter_spot)] = [runs_scored for runs_scored, _ in aprun(total=num_simulated_games)(delayed(simulate_game)(batters) for _ in range(num_simulated_games))]"
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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dh_batting_avgs = []\n",
    "for team_avg in reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    dh_spot_avgs = []\n",
    "    for designated_hitter_spot in range(9):\n",
    "        dh_spot_avgs.append(np.mean(designated_hitter_spot_scores[(team_avg, designated_hitter_spot)]))\n",
    "    dh_spot_avgs = np.array(dh_spot_avgs) / np.mean(dh_spot_avgs)\n",
    "    dh_batting_avgs.append(dh_spot_avgs)\n",
    "\n",
    "plt.figure(figsize=(9, 9))\n",
    "sb.heatmap(dh_batting_avgs, cmap='PuOr', center=1., annot=True, fmt='.3f', cbar=False)\n",
    "plt.xticks([x + 0.5 for x in range(9)], [str(x) for x in range(1, 10)], fontsize=12)\n",
    "plt.xlabel('DH Batting Position (BA=0.35)', fontsize=14)\n",
    "plt.yticks([y + 0.5 for y in range(6)], reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]), fontsize=12, va='center')\n",
    "plt.ylabel('Team Batting Average (BA)', fontsize=14)\n",
    "plt.title('Batting order matters when one player is much\\nbetter than their teammates\\n\\n', fontsize=20)\n",
    "plt.text(4.5, -0.1, 'Measured: Relative runs scored based on the DH batting position\\n>1 means more runs scored, <1 means fewer runs scored', fontsize=12, ha='center')\n",
    "plt.text(-0.7, 6.8, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "plt.savefig('mlb-batting-order-dh.png', bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=3 [p=1.993213882431106e-34]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=4 [p=1.812699459453188e-33]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=5 [p=4.841408611226961e-105]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=6 [p=2.1989383913301317e-231]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=7 [p=9.216188457618672e-207]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=8 [p=3.667389122454236e-218]\n",
      "sig diff: team avg=0.1, dh pos=1 vs. dh pos=9 [p=3.4321976744637874e-290]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=3 [p=8.683361888508758e-21]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=4 [p=4.275214713813377e-20]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=5 [p=2.307786280302862e-79]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=6 [p=6.56752502068817e-192]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=7 [p=1.2862878707847538e-169]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=8 [p=6.758757959239213e-180]\n",
      "sig diff: team avg=0.1, dh pos=2 vs. dh pos=9 [p=1.7225195850226612e-245]\n",
      "sig diff: team avg=0.1, dh pos=3 vs. dh pos=5 [p=1.8386948714134494e-21]\n",
      "sig diff: team avg=0.1, dh pos=3 vs. dh pos=6 [p=1.6438493001481296e-90]\n",
      "sig diff: team avg=0.1, dh pos=3 vs. dh pos=7 [p=1.8420283773808343e-75]\n",
      "sig diff: team avg=0.1, dh pos=3 vs. dh pos=8 [p=2.922048694446345e-82]\n",
      "sig diff: team avg=0.1, dh pos=3 vs. dh pos=9 [p=8.729968564474104e-128]\n",
      "sig diff: team avg=0.1, dh pos=4 vs. dh pos=5 [p=7.157137876264341e-22]\n",
      "sig diff: team avg=0.1, dh pos=4 vs. dh pos=6 [p=4.583023030013289e-91]\n",
      "sig diff: team avg=0.1, dh pos=4 vs. dh pos=7 [p=4.8140938524114977e-76]\n",
      "sig diff: team avg=0.1, dh pos=4 vs. dh pos=8 [p=7.650725116291236e-83]\n",
      "sig diff: team avg=0.1, dh pos=4 vs. dh pos=9 [p=2.4714887218395744e-128]\n",
      "sig diff: team avg=0.1, dh pos=5 vs. dh pos=6 [p=2.198816819980043e-26]\n",
      "sig diff: team avg=0.1, dh pos=5 vs. dh pos=7 [p=1.0330372720533307e-18]\n",
      "sig diff: team avg=0.1, dh pos=5 vs. dh pos=8 [p=4.768588761976132e-22]\n",
      "sig diff: team avg=0.1, dh pos=5 vs. dh pos=9 [p=2.1756207162931975e-47]\n",
      "sig diff: team avg=0.1, dh pos=7 vs. dh pos=9 [p=1.8820378340149334e-08]\n",
      "sig diff: team avg=0.1, dh pos=8 vs. dh pos=9 [p=1.532389060082728e-06]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=3 [p=3.6557297985692933e-06]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=5 [p=1.4410639275113839e-18]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=6 [p=2.813016210280305e-69]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=7 [p=2.1148242931535942e-89]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=8 [p=3.304295742713236e-120]\n",
      "sig diff: team avg=0.15, dh pos=1 vs. dh pos=9 [p=2.137620551842133e-178]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=3 [p=9.408419520887769e-10]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=5 [p=9.070076759034137e-25]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=6 [p=4.013501898130506e-81]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=7 [p=7.944112339150383e-103]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=8 [p=8.693675681304036e-136]\n",
      "sig diff: team avg=0.15, dh pos=2 vs. dh pos=9 [p=2.4995069467551577e-197]\n",
      "sig diff: team avg=0.15, dh pos=3 vs. dh pos=6 [p=2.1216224794592715e-38]\n",
      "sig diff: team avg=0.15, dh pos=3 vs. dh pos=7 [p=1.3510161214298604e-53]\n",
      "sig diff: team avg=0.15, dh pos=3 vs. dh pos=8 [p=9.038350203657884e-78]\n",
      "sig diff: team avg=0.15, dh pos=3 vs. dh pos=9 [p=1.6883407647869588e-125]\n",
      "sig diff: team avg=0.15, dh pos=4 vs. dh pos=5 [p=9.32637132490468e-16]\n",
      "sig diff: team avg=0.15, dh pos=4 vs. dh pos=6 [p=2.516207750135432e-63]\n",
      "sig diff: team avg=0.15, dh pos=4 vs. dh pos=7 [p=1.513573427948481e-82]\n",
      "sig diff: team avg=0.15, dh pos=4 vs. dh pos=8 [p=4.0313322280118733e-112]\n",
      "sig diff: team avg=0.15, dh pos=4 vs. dh pos=9 [p=2.808888831509607e-168]\n",
      "sig diff: team avg=0.15, dh pos=5 vs. dh pos=6 [p=2.2369635603850538e-18]\n",
      "sig diff: team avg=0.15, dh pos=5 vs. dh pos=7 [p=4.441855163805096e-29]\n",
      "sig diff: team avg=0.15, dh pos=5 vs. dh pos=8 [p=3.653180674858543e-47]\n",
      "sig diff: team avg=0.15, dh pos=5 vs. dh pos=9 [p=3.159014991272495e-85]\n",
      "sig diff: team avg=0.15, dh pos=6 vs. dh pos=8 [p=1.504718632116115e-08]\n",
      "sig diff: team avg=0.15, dh pos=6 vs. dh pos=9 [p=3.424427465554104e-27]\n",
      "sig diff: team avg=0.15, dh pos=7 vs. dh pos=9 [p=7.239966785374588e-17]\n",
      "sig diff: team avg=0.15, dh pos=8 vs. dh pos=9 [p=2.632610106337814e-07]\n",
      "sig diff: team avg=0.2, dh pos=1 vs. dh pos=3 [p=4.975863769272197e-06]\n",
      "sig diff: team avg=0.2, dh pos=1 vs. dh pos=6 [p=2.65483444031005e-28]\n",
      "sig diff: team avg=0.2, dh pos=1 vs. dh pos=7 [p=1.8135853092597406e-47]\n",
      "sig diff: team avg=0.2, dh pos=1 vs. dh pos=8 [p=1.150233689898291e-57]\n",
      "sig diff: team avg=0.2, dh pos=1 vs. dh pos=9 [p=7.223424302190309e-92]\n",
      "sig diff: team avg=0.2, dh pos=2 vs. dh pos=6 [p=1.0411706910861108e-19]\n",
      "sig diff: team avg=0.2, dh pos=2 vs. dh pos=7 [p=5.1747610796208696e-36]\n",
      "sig diff: team avg=0.2, dh pos=2 vs. dh pos=8 [p=6.258135807210273e-45]\n",
      "sig diff: team avg=0.2, dh pos=2 vs. dh pos=9 [p=1.5616448083207673e-75]\n",
      "sig diff: team avg=0.2, dh pos=3 vs. dh pos=6 [p=9.158553336775526e-11]\n",
      "sig diff: team avg=0.2, dh pos=3 vs. dh pos=7 [p=3.301865172490029e-23]\n",
      "sig diff: team avg=0.2, dh pos=3 vs. dh pos=8 [p=2.1319152939525667e-30]\n",
      "sig diff: team avg=0.2, dh pos=3 vs. dh pos=9 [p=4.16454555014728e-56]\n",
      "sig diff: team avg=0.2, dh pos=4 vs. dh pos=6 [p=7.091753492774976e-27]\n",
      "sig diff: team avg=0.2, dh pos=4 vs. dh pos=7 [p=1.3363453468048125e-45]\n",
      "sig diff: team avg=0.2, dh pos=4 vs. dh pos=8 [p=1.3048721867324426e-55]\n",
      "sig diff: team avg=0.2, dh pos=4 vs. dh pos=9 [p=2.650185348750165e-89]\n",
      "sig diff: team avg=0.2, dh pos=5 vs. dh pos=6 [p=1.4343465725467364e-11]\n",
      "sig diff: team avg=0.2, dh pos=5 vs. dh pos=7 [p=2.2522684790558515e-24]\n",
      "sig diff: team avg=0.2, dh pos=5 vs. dh pos=8 [p=1.0047752339155035e-31]\n",
      "sig diff: team avg=0.2, dh pos=5 vs. dh pos=9 [p=7.322521942273125e-58]\n",
      "sig diff: team avg=0.2, dh pos=6 vs. dh pos=8 [p=6.891044968687213e-07]\n",
      "sig diff: team avg=0.2, dh pos=6 vs. dh pos=9 [p=1.8501164693310642e-20]\n",
      "sig diff: team avg=0.2, dh pos=7 vs. dh pos=9 [p=5.55812122235324e-09]\n",
      "sig diff: team avg=0.25, dh pos=1 vs. dh pos=6 [p=1.3831070831091773e-08]\n",
      "sig diff: team avg=0.25, dh pos=1 vs. dh pos=7 [p=3.31894013383353e-18]\n",
      "sig diff: team avg=0.25, dh pos=1 vs. dh pos=8 [p=1.7330019936918686e-26]\n",
      "sig diff: team avg=0.25, dh pos=1 vs. dh pos=9 [p=2.313896122609819e-28]\n",
      "sig diff: team avg=0.25, dh pos=2 vs. dh pos=7 [p=2.165570151778953e-08]\n",
      "sig diff: team avg=0.25, dh pos=2 vs. dh pos=8 [p=4.208549321541679e-14]\n",
      "sig diff: team avg=0.25, dh pos=2 vs. dh pos=9 [p=1.871896887582137e-15]\n",
      "sig diff: team avg=0.25, dh pos=3 vs. dh pos=7 [p=3.2875112864625612e-06]\n",
      "sig diff: team avg=0.25, dh pos=3 vs. dh pos=8 [p=3.877797203112571e-11]\n",
      "sig diff: team avg=0.25, dh pos=3 vs. dh pos=9 [p=2.481145930009218e-12]\n",
      "sig diff: team avg=0.25, dh pos=4 vs. dh pos=7 [p=1.1449304045033806e-12]\n",
      "sig diff: team avg=0.25, dh pos=4 vs. dh pos=8 [p=1.226266128442354e-19]\n",
      "sig diff: team avg=0.25, dh pos=4 vs. dh pos=9 [p=3.0013494742914022e-21]\n",
      "sig diff: team avg=0.25, dh pos=5 vs. dh pos=7 [p=3.756596993806079e-07]\n",
      "sig diff: team avg=0.25, dh pos=5 vs. dh pos=8 [p=1.9972127491978356e-12]\n",
      "sig diff: team avg=0.25, dh pos=5 vs. dh pos=9 [p=1.0843693706190971e-13]\n",
      "sig diff: team avg=0.25, dh pos=6 vs. dh pos=8 [p=6.095539057877671e-07]\n",
      "sig diff: team avg=0.25, dh pos=6 vs. dh pos=9 [p=7.246783482517967e-08]\n",
      "sig diff: team avg=0.3, dh pos=1 vs. dh pos=7 [p=3.590625549191536e-06]\n",
      "sig diff: team avg=0.3, dh pos=1 vs. dh pos=8 [p=4.0136192312912695e-11]\n",
      "sig diff: team avg=0.3, dh pos=1 vs. dh pos=9 [p=1.7985941375427346e-10]\n",
      "sig diff: team avg=0.3, dh pos=2 vs. dh pos=8 [p=7.586368508725617e-10]\n",
      "sig diff: team avg=0.3, dh pos=2 vs. dh pos=9 [p=3.0993959675870173e-09]\n",
      "sig diff: team avg=0.3, dh pos=3 vs. dh pos=8 [p=7.627671059317768e-08]\n",
      "sig diff: team avg=0.3, dh pos=3 vs. dh pos=9 [p=2.632896126595547e-07]\n",
      "sig diff: team avg=0.3, dh pos=4 vs. dh pos=7 [p=5.161961870945482e-07]\n",
      "sig diff: team avg=0.3, dh pos=4 vs. dh pos=8 [p=2.699565677716188e-12]\n",
      "sig diff: team avg=0.3, dh pos=4 vs. dh pos=9 [p=1.3251648748904703e-11]\n",
      "sig diff: team avg=0.3, dh pos=5 vs. dh pos=8 [p=7.733403379191462e-07]\n",
      "sig diff: team avg=0.3, dh pos=5 vs. dh pos=9 [p=2.435910255012577e-06]\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import ranksums\n",
    "from itertools import product\n",
    "\n",
    "for team_avg1, designated_hitter_spot1, team_avg2, designated_hitter_spot2 in product([0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9), [0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9)):\n",
    "    if team_avg1 != team_avg2:\n",
    "        continue\n",
    "    if designated_hitter_spot1 > designated_hitter_spot2:\n",
    "        continue\n",
    "    if team_avg1 == team_avg2 and designated_hitter_spot1 == designated_hitter_spot2:\n",
    "        continue\n",
    "    statistic, pval = ranksums(designated_hitter_spot_scores[(team_avg1, designated_hitter_spot1)], designated_hitter_spot_scores[(team_avg2, designated_hitter_spot2)])\n",
    "    if pval < 1e-5:\n",
    "        print('sig diff: team avg={}, dh pos={} vs. dh pos={} [p={}]'.format(team_avg1, designated_hitter_spot1 + 1, designated_hitter_spot2 + 1, pval))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7090098ae5344608824b5159a98774c9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=6), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "pitcher_spot_scores = {}\n",
    "num_simulated_games = 1000000\n",
    "for team_avg in tqdm([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    for pitcher_spot in range(9):\n",
    "        batters = [team_avg] * 9\n",
    "        batters[pitcher_spot] = 0.1\n",
    "        aprun = ParallelExecutor(n_jobs=-1, use_bar=False)\n",
    "        pitcher_spot_scores[(team_avg, pitcher_spot)] = [runs_scored for runs_scored, _ in aprun(total=num_simulated_games)(delayed(simulate_game)(batters) for _ in range(num_simulated_games))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_batting_avgs = []\n",
    "for team_avg in reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    p_spot_avgs = []\n",
    "    for pitcher_spot in range(9):\n",
    "        p_spot_avgs.append(np.mean(pitcher_spot_scores[(team_avg, pitcher_spot)]))\n",
    "    p_spot_avgs = np.array(p_spot_avgs) / np.mean(p_spot_avgs)\n",
    "    p_batting_avgs.append(p_spot_avgs)\n",
    "\n",
    "plt.figure(figsize=(9, 9))\n",
    "sb.heatmap(p_batting_avgs, cmap='PuOr', center=1., annot=True, fmt='.3f', cbar=False)\n",
    "plt.xticks([x + 0.5 for x in range(9)], [str(x) for x in range(1, 10)], fontsize=12)\n",
    "plt.xlabel('Pitcher Batting Position (BA=0.1)', fontsize=14)\n",
    "plt.yticks([y + 0.5 for y in range(6)], reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]), fontsize=12, va='center')\n",
    "plt.ylabel('Team Batting Average (BA)', fontsize=14)\n",
    "plt.title('Batting order matters when one player is much\\nworse than their teammates\\n\\n', fontsize=20)\n",
    "plt.text(4.5, -0.1, 'Measured: Relative runs scored based on the Pitcher batting position\\n>1 means more runs scored, <1 means fewer runs scored', fontsize=12, ha='center')\n",
    "plt.text(-0.7, 6.8, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "plt.savefig('mlb-batting-order-pitcher.png', bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sig diff: team avg=0.15, pitcher pos=1 vs. pitcher pos=5 [p=3.8851625783791845e-06]\n",
      "sig diff: team avg=0.15, pitcher pos=1 vs. pitcher pos=6 [p=1.6567387490416848e-09]\n",
      "sig diff: team avg=0.15, pitcher pos=1 vs. pitcher pos=7 [p=3.521864556215601e-13]\n",
      "sig diff: team avg=0.15, pitcher pos=1 vs. pitcher pos=8 [p=2.2218326239175095e-14]\n",
      "sig diff: team avg=0.15, pitcher pos=1 vs. pitcher pos=9 [p=7.785499313865129e-19]\n",
      "sig diff: team avg=0.15, pitcher pos=2 vs. pitcher pos=6 [p=2.0124828886376083e-06]\n",
      "sig diff: team avg=0.15, pitcher pos=2 vs. pitcher pos=7 [p=2.0015496834873097e-09]\n",
      "sig diff: team avg=0.15, pitcher pos=2 vs. pitcher pos=8 [p=1.995996488992889e-10]\n",
      "sig diff: team avg=0.15, pitcher pos=2 vs. pitcher pos=9 [p=3.2618519915831955e-14]\n",
      "sig diff: team avg=0.15, pitcher pos=3 vs. pitcher pos=7 [p=1.0796284981609147e-06]\n",
      "sig diff: team avg=0.15, pitcher pos=3 vs. pitcher pos=8 [p=1.6098095825185125e-07]\n",
      "sig diff: team avg=0.15, pitcher pos=3 vs. pitcher pos=9 [p=1.0132397815959589e-10]\n",
      "sig diff: team avg=0.15, pitcher pos=4 vs. pitcher pos=6 [p=7.396386504689107e-07]\n",
      "sig diff: team avg=0.15, pitcher pos=4 vs. pitcher pos=7 [p=5.706121239186367e-10]\n",
      "sig diff: team avg=0.15, pitcher pos=4 vs. pitcher pos=8 [p=5.3022601322627294e-11]\n",
      "sig diff: team avg=0.15, pitcher pos=4 vs. pitcher pos=9 [p=6.745193973135644e-15]\n",
      "sig diff: team avg=0.2, pitcher pos=1 vs. pitcher pos=6 [p=3.736793590540399e-21]\n",
      "sig diff: team avg=0.2, pitcher pos=1 vs. pitcher pos=7 [p=2.524976319110312e-18]\n",
      "sig diff: team avg=0.2, pitcher pos=1 vs. pitcher pos=8 [p=6.746491316929479e-35]\n",
      "sig diff: team avg=0.2, pitcher pos=1 vs. pitcher pos=9 [p=6.403222171714512e-45]\n",
      "sig diff: team avg=0.2, pitcher pos=2 vs. pitcher pos=6 [p=2.745377273205046e-20]\n",
      "sig diff: team avg=0.2, pitcher pos=2 vs. pitcher pos=7 [p=1.592850476032973e-17]\n",
      "sig diff: team avg=0.2, pitcher pos=2 vs. pitcher pos=8 [p=9.402831597164582e-34]\n",
      "sig diff: team avg=0.2, pitcher pos=2 vs. pitcher pos=9 [p=1.3256041606779473e-43]\n",
      "sig diff: team avg=0.2, pitcher pos=3 vs. pitcher pos=6 [p=3.052850586857199e-19]\n",
      "sig diff: team avg=0.2, pitcher pos=3 vs. pitcher pos=7 [p=1.4702483430295165e-16]\n",
      "sig diff: team avg=0.2, pitcher pos=3 vs. pitcher pos=8 [p=2.2604947523265107e-32]\n",
      "sig diff: team avg=0.2, pitcher pos=3 vs. pitcher pos=9 [p=5.097574771619022e-42]\n",
      "sig diff: team avg=0.2, pitcher pos=4 vs. pitcher pos=6 [p=3.0892533399419725e-19]\n",
      "sig diff: team avg=0.2, pitcher pos=4 vs. pitcher pos=7 [p=1.5077781232512707e-16]\n",
      "sig diff: team avg=0.2, pitcher pos=4 vs. pitcher pos=8 [p=2.1263766982882966e-32]\n",
      "sig diff: team avg=0.2, pitcher pos=4 vs. pitcher pos=9 [p=4.537418406485668e-42]\n",
      "sig diff: team avg=0.2, pitcher pos=5 vs. pitcher pos=6 [p=1.8903311286109317e-12]\n",
      "sig diff: team avg=0.2, pitcher pos=5 vs. pitcher pos=7 [p=2.4052778093024993e-10]\n",
      "sig diff: team avg=0.2, pitcher pos=5 vs. pitcher pos=8 [p=2.987994710899591e-23]\n",
      "sig diff: team avg=0.2, pitcher pos=5 vs. pitcher pos=9 [p=1.6689098012995852e-31]\n",
      "sig diff: team avg=0.2, pitcher pos=6 vs. pitcher pos=9 [p=3.2940442949580448e-06]\n",
      "sig diff: team avg=0.2, pitcher pos=7 vs. pitcher pos=9 [p=8.444971822549267e-08]\n",
      "sig diff: team avg=0.25, pitcher pos=1 vs. pitcher pos=6 [p=1.263607488343873e-23]\n",
      "sig diff: team avg=0.25, pitcher pos=1 vs. pitcher pos=7 [p=4.516058690648763e-49]\n",
      "sig diff: team avg=0.25, pitcher pos=1 vs. pitcher pos=8 [p=1.868709972805515e-46]\n",
      "sig diff: team avg=0.25, pitcher pos=1 vs. pitcher pos=9 [p=9.124875977854823e-82]\n",
      "sig diff: team avg=0.25, pitcher pos=2 vs. pitcher pos=6 [p=9.121582635686449e-20]\n",
      "sig diff: team avg=0.25, pitcher pos=2 vs. pitcher pos=7 [p=2.658571220387695e-43]\n",
      "sig diff: team avg=0.25, pitcher pos=2 vs. pitcher pos=8 [p=7.532218740635377e-41]\n",
      "sig diff: team avg=0.25, pitcher pos=2 vs. pitcher pos=9 [p=3.792046725058025e-74]\n",
      "sig diff: team avg=0.25, pitcher pos=3 vs. pitcher pos=6 [p=8.383966192001412e-09]\n",
      "sig diff: team avg=0.25, pitcher pos=3 vs. pitcher pos=7 [p=1.4330997662660238e-25]\n",
      "sig diff: team avg=0.25, pitcher pos=3 vs. pitcher pos=8 [p=1.0181059424978879e-23]\n",
      "sig diff: team avg=0.25, pitcher pos=3 vs. pitcher pos=9 [p=5.150512722206992e-50]\n",
      "sig diff: team avg=0.25, pitcher pos=4 vs. pitcher pos=6 [p=2.4556456675838104e-22]\n",
      "sig diff: team avg=0.25, pitcher pos=4 vs. pitcher pos=7 [p=3.8858858801144415e-47]\n",
      "sig diff: team avg=0.25, pitcher pos=4 vs. pitcher pos=8 [p=1.405260832926898e-44]\n",
      "sig diff: team avg=0.25, pitcher pos=4 vs. pitcher pos=9 [p=3.7388299589130853e-79]\n",
      "sig diff: team avg=0.25, pitcher pos=5 vs. pitcher pos=6 [p=1.0041981665787318e-16]\n",
      "sig diff: team avg=0.25, pitcher pos=5 vs. pitcher pos=7 [p=1.1186354391340145e-38]\n",
      "sig diff: team avg=0.25, pitcher pos=5 vs. pitcher pos=8 [p=2.2474110418558506e-36]\n",
      "sig diff: team avg=0.25, pitcher pos=5 vs. pitcher pos=9 [p=4.689603775373094e-68]\n",
      "sig diff: team avg=0.25, pitcher pos=6 vs. pitcher pos=7 [p=2.6120598419790005e-06]\n",
      "sig diff: team avg=0.25, pitcher pos=6 vs. pitcher pos=9 [p=6.531623482124316e-20]\n",
      "sig diff: team avg=0.25, pitcher pos=7 vs. pitcher pos=9 [p=8.779138829657236e-06]\n",
      "sig diff: team avg=0.25, pitcher pos=8 vs. pitcher pos=9 [p=1.194392607523925e-06]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=2 [p=8.353757123256407e-08]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=3 [p=1.6153351773311131e-22]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=4 [p=2.6074603335403655e-06]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=5 [p=6.0048940289536404e-15]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=6 [p=1.7188273321673662e-52]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=7 [p=6.956087996395689e-82]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=8 [p=3.4107621024146694e-109]\n",
      "sig diff: team avg=0.3, pitcher pos=1 vs. pitcher pos=9 [p=4.971738054338718e-173]\n",
      "sig diff: team avg=0.3, pitcher pos=2 vs. pitcher pos=3 [p=9.959224425730982e-06]\n",
      "sig diff: team avg=0.3, pitcher pos=2 vs. pitcher pos=6 [p=4.3000326686945074e-23]\n",
      "sig diff: team avg=0.3, pitcher pos=2 vs. pitcher pos=7 [p=2.0450594381375726e-43]\n",
      "sig diff: team avg=0.3, pitcher pos=2 vs. pitcher pos=8 [p=1.025315766940147e-63]\n",
      "sig diff: team avg=0.3, pitcher pos=2 vs. pitcher pos=9 [p=6.1794625367623775e-114]\n",
      "sig diff: team avg=0.3, pitcher pos=3 vs. pitcher pos=4 [p=4.4498404478852373e-07]\n",
      "sig diff: team avg=0.3, pitcher pos=3 vs. pitcher pos=6 [p=4.320334730364867e-08]\n",
      "sig diff: team avg=0.3, pitcher pos=3 vs. pitcher pos=7 [p=6.30824649646141e-21]\n",
      "sig diff: team avg=0.3, pitcher pos=3 vs. pitcher pos=8 [p=2.0209047768680628e-35]\n",
      "sig diff: team avg=0.3, pitcher pos=3 vs. pitcher pos=9 [p=2.6572390367461014e-74]\n",
      "sig diff: team avg=0.3, pitcher pos=4 vs. pitcher pos=6 [p=6.026023750905654e-26]\n",
      "sig diff: team avg=0.3, pitcher pos=4 vs. pitcher pos=7 [p=2.881407355644203e-47]\n",
      "sig diff: team avg=0.3, pitcher pos=4 vs. pitcher pos=8 [p=2.215982775474632e-68]\n",
      "sig diff: team avg=0.3, pitcher pos=4 vs. pitcher pos=9 [p=4.880235566606631e-120]\n",
      "sig diff: team avg=0.3, pitcher pos=5 vs. pitcher pos=6 [p=1.1352532168880723e-13]\n",
      "sig diff: team avg=0.3, pitcher pos=5 vs. pitcher pos=7 [p=9.404064042439993e-30]\n",
      "sig diff: team avg=0.3, pitcher pos=5 vs. pitcher pos=8 [p=8.688559264804496e-47]\n",
      "sig diff: team avg=0.3, pitcher pos=5 vs. pitcher pos=9 [p=1.391575735005446e-90]\n",
      "sig diff: team avg=0.3, pitcher pos=6 vs. pitcher pos=8 [p=3.578976447437263e-12]\n",
      "sig diff: team avg=0.3, pitcher pos=6 vs. pitcher pos=9 [p=2.2812745629023015e-37]\n",
      "sig diff: team avg=0.3, pitcher pos=7 vs. pitcher pos=9 [p=8.020784190788164e-19]\n",
      "sig diff: team avg=0.3, pitcher pos=8 vs. pitcher pos=9 [p=6.172240291460689e-09]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=2 [p=3.813780983491385e-15]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=3 [p=1.3830330447057497e-36]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=4 [p=2.5780721611446785e-27]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=5 [p=1.1216694099222578e-27]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=6 [p=3.872729624040197e-90]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=7 [p=2.626956916522825e-176]\n",
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=8 [p=9.715274614129921e-230]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sig diff: team avg=0.35, pitcher pos=1 vs. pitcher pos=9 [p=3.220267321795051e-281]\n",
      "sig diff: team avg=0.35, pitcher pos=2 vs. pitcher pos=3 [p=1.6139670212100365e-06]\n",
      "sig diff: team avg=0.35, pitcher pos=2 vs. pitcher pos=6 [p=8.299306585791126e-35]\n",
      "sig diff: team avg=0.35, pitcher pos=2 vs. pitcher pos=7 [p=1.8586225058566005e-93]\n",
      "sig diff: team avg=0.35, pitcher pos=2 vs. pitcher pos=8 [p=2.603919487805058e-133]\n",
      "sig diff: team avg=0.35, pitcher pos=2 vs. pitcher pos=9 [p=4.022886588831997e-173]\n",
      "sig diff: team avg=0.35, pitcher pos=3 vs. pitcher pos=6 [p=6.614034101392958e-14]\n",
      "sig diff: team avg=0.35, pitcher pos=3 vs. pitcher pos=7 [p=1.7637445840810704e-55]\n",
      "sig diff: team avg=0.35, pitcher pos=3 vs. pitcher pos=8 [p=7.739828991638169e-87]\n",
      "sig diff: team avg=0.35, pitcher pos=3 vs. pitcher pos=9 [p=2.1719000592863943e-119]\n",
      "sig diff: team avg=0.35, pitcher pos=4 vs. pitcher pos=6 [p=1.2942527134733691e-20]\n",
      "sig diff: team avg=0.35, pitcher pos=4 vs. pitcher pos=7 [p=1.2835707549227605e-68]\n",
      "sig diff: team avg=0.35, pitcher pos=4 vs. pitcher pos=8 [p=3.6300281863188245e-103]\n",
      "sig diff: team avg=0.35, pitcher pos=4 vs. pitcher pos=9 [p=1.8965909045113902e-138]\n",
      "sig diff: team avg=0.35, pitcher pos=5 vs. pitcher pos=6 [p=2.730228869895967e-20]\n",
      "sig diff: team avg=0.35, pitcher pos=5 vs. pitcher pos=7 [p=5.1291556746202074e-68]\n",
      "sig diff: team avg=0.35, pitcher pos=5 vs. pitcher pos=8 [p=2.0013757721704826e-102]\n",
      "sig diff: team avg=0.35, pitcher pos=5 vs. pitcher pos=9 [p=1.3596282572447242e-137]\n",
      "sig diff: team avg=0.35, pitcher pos=6 vs. pitcher pos=7 [p=2.1711619378971672e-16]\n",
      "sig diff: team avg=0.35, pitcher pos=6 vs. pitcher pos=8 [p=1.0883133428675732e-34]\n",
      "sig diff: team avg=0.35, pitcher pos=6 vs. pitcher pos=9 [p=4.59793707847946e-56]\n",
      "sig diff: team avg=0.35, pitcher pos=7 vs. pitcher pos=9 [p=3.626139910490934e-14]\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import ranksums\n",
    "from itertools import product\n",
    "\n",
    "for team_avg1, pitcher_spot1, team_avg2, pitcher_spot2 in product([0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9), [0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9)):\n",
    "    if team_avg1 != team_avg2:\n",
    "        continue\n",
    "    if pitcher_spot1 > pitcher_spot2:\n",
    "        continue\n",
    "    if team_avg1 == team_avg2 and pitcher_spot1 == pitcher_spot2:\n",
    "        continue\n",
    "    statistic, pval = ranksums(pitcher_spot_scores[(team_avg1, pitcher_spot1)], pitcher_spot_scores[(team_avg2, pitcher_spot2)])\n",
    "    if pval < 1e-5:\n",
    "        print('sig diff: team avg={}, pitcher pos={} vs. pitcher pos={} [p={}]'.format(team_avg1, pitcher_spot1 + 1, pitcher_spot2 + 1, pval))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "96d6c555d55e45c59744678efa8bf796",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=6), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "hitter_spot_scores = {}\n",
    "num_simulated_games = 1000000\n",
    "for hitter_ba in tqdm([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    for hitter_spot in range(9):\n",
    "        batters = [0.25] * 9\n",
    "        batters[hitter_spot] = hitter_ba\n",
    "        aprun = ParallelExecutor(n_jobs=-1, use_bar=False)\n",
    "        hitter_spot_scores[(hitter_ba, hitter_spot)] = [runs_scored for runs_scored, _ in aprun(total=num_simulated_games)(delayed(simulate_game)(batters) for _ in range(num_simulated_games))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hitter_batting_avgs = []\n",
    "for hitter_ba in reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]):\n",
    "    hitter_spot_avgs = []\n",
    "    for hitter_spot in range(9):\n",
    "        hitter_spot_avgs.append(np.mean(hitter_spot_scores[(hitter_ba, hitter_spot)]))\n",
    "    hitter_spot_avgs = np.array(hitter_spot_avgs) / np.mean(hitter_spot_avgs)\n",
    "    hitter_batting_avgs.append(hitter_spot_avgs)\n",
    "\n",
    "plt.figure(figsize=(9, 9))\n",
    "sb.heatmap(hitter_batting_avgs, cmap='PuOr', center=1., annot=True, fmt='.3f', cbar=False)\n",
    "plt.xticks([x + 0.5 for x in range(9)], [str(x) for x in range(1, 10)], fontsize=12)\n",
    "plt.xlabel('Hitter Batting Position (Team BA=0.25)', fontsize=14)\n",
    "plt.yticks([y + 0.5 for y in range(6)], reversed([0.1, 0.15, 0.2, 0.25, 0.3, 0.35]), fontsize=12, va='center')\n",
    "plt.ylabel('Hitter Batting Average (BA)', fontsize=14)\n",
    "plt.title('Exceptional batters should lead the batting line-up,\\npoor batters should conclude the line-up\\n\\n', fontsize=20)\n",
    "plt.text(4.5, -0.1, 'Measured: Relative runs scored based on the Hitter batting position & BA\\n>1 means more runs scored, <1 means fewer runs scored', fontsize=12, ha='center')\n",
    "plt.text(-0.7, 6.8, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "plt.savefig('mlb-batting-order-varying-hitter.png', bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sig diff: batter avg=0.1, batter pos=1 vs. batter pos=6 [p=2.3356714160801088e-24]\n",
      "sig diff: batter avg=0.1, batter pos=1 vs. batter pos=7 [p=1.9333496033653533e-42]\n",
      "sig diff: batter avg=0.1, batter pos=1 vs. batter pos=8 [p=6.10815448231743e-53]\n",
      "sig diff: batter avg=0.1, batter pos=1 vs. batter pos=9 [p=1.575713429661131e-97]\n",
      "sig diff: batter avg=0.1, batter pos=2 vs. batter pos=6 [p=2.0215081818800176e-15]\n",
      "sig diff: batter avg=0.1, batter pos=2 vs. batter pos=7 [p=4.017891266089287e-30]\n",
      "sig diff: batter avg=0.1, batter pos=2 vs. batter pos=8 [p=5.341388537747882e-39]\n",
      "sig diff: batter avg=0.1, batter pos=2 vs. batter pos=9 [p=5.060705124564318e-78]\n",
      "sig diff: batter avg=0.1, batter pos=3 vs. batter pos=6 [p=1.9653904111195653e-11]\n",
      "sig diff: batter avg=0.1, batter pos=3 vs. batter pos=7 [p=2.7407260526466543e-24]\n",
      "sig diff: batter avg=0.1, batter pos=3 vs. batter pos=8 [p=2.816306052006508e-32]\n",
      "sig diff: batter avg=0.1, batter pos=3 vs. batter pos=9 [p=3.0275119028564315e-68]\n",
      "sig diff: batter avg=0.1, batter pos=4 vs. batter pos=6 [p=5.661422005059482e-20]\n",
      "sig diff: batter avg=0.1, batter pos=4 vs. batter pos=7 [p=1.6915555936193104e-36]\n",
      "sig diff: batter avg=0.1, batter pos=4 vs. batter pos=8 [p=2.9356014190839377e-46]\n",
      "sig diff: batter avg=0.1, batter pos=4 vs. batter pos=9 [p=2.9250009360182003e-88]\n",
      "sig diff: batter avg=0.1, batter pos=5 vs. batter pos=6 [p=1.4549070522486695e-13]\n",
      "sig diff: batter avg=0.1, batter pos=5 vs. batter pos=7 [p=1.828373272957227e-27]\n",
      "sig diff: batter avg=0.1, batter pos=5 vs. batter pos=8 [p=5.822777629859619e-36]\n",
      "sig diff: batter avg=0.1, batter pos=5 vs. batter pos=9 [p=1.0934504454814966e-73]\n",
      "sig diff: batter avg=0.1, batter pos=6 vs. batter pos=8 [p=2.9773549237136997e-07]\n",
      "sig diff: batter avg=0.1, batter pos=6 vs. batter pos=9 [p=4.8361947840322014e-27]\n",
      "sig diff: batter avg=0.1, batter pos=7 vs. batter pos=9 [p=2.7297346879156197e-13]\n",
      "sig diff: batter avg=0.1, batter pos=8 vs. batter pos=9 [p=1.5922744179739228e-08]\n",
      "sig diff: batter avg=0.15, batter pos=1 vs. batter pos=6 [p=4.366179130152077e-06]\n",
      "sig diff: batter avg=0.15, batter pos=1 vs. batter pos=7 [p=1.934107684620965e-12]\n",
      "sig diff: batter avg=0.15, batter pos=1 vs. batter pos=8 [p=7.78624198027531e-20]\n",
      "sig diff: batter avg=0.15, batter pos=1 vs. batter pos=9 [p=1.3890943563058296e-38]\n",
      "sig diff: batter avg=0.15, batter pos=2 vs. batter pos=6 [p=4.209619788129184e-08]\n",
      "sig diff: batter avg=0.15, batter pos=2 vs. batter pos=7 [p=2.28957523663897e-15]\n",
      "sig diff: batter avg=0.15, batter pos=2 vs. batter pos=8 [p=1.5958028806387556e-23]\n",
      "sig diff: batter avg=0.15, batter pos=2 vs. batter pos=9 [p=1.0540870392388548e-43]\n",
      "sig diff: batter avg=0.15, batter pos=3 vs. batter pos=7 [p=5.888897525539422e-07]\n",
      "sig diff: batter avg=0.15, batter pos=3 vs. batter pos=8 [p=1.5522832890635303e-12]\n",
      "sig diff: batter avg=0.15, batter pos=3 vs. batter pos=9 [p=7.454010617532868e-28]\n",
      "sig diff: batter avg=0.15, batter pos=4 vs. batter pos=6 [p=1.5887629310380087e-08]\n",
      "sig diff: batter avg=0.15, batter pos=4 vs. batter pos=7 [p=5.738765364593026e-16]\n",
      "sig diff: batter avg=0.15, batter pos=4 vs. batter pos=8 [p=2.814964152068496e-24]\n",
      "sig diff: batter avg=0.15, batter pos=4 vs. batter pos=9 [p=9.416275387342214e-45]\n",
      "sig diff: batter avg=0.15, batter pos=5 vs. batter pos=7 [p=5.789746845829661e-07]\n",
      "sig diff: batter avg=0.15, batter pos=5 vs. batter pos=8 [p=1.5306117655840685e-12]\n",
      "sig diff: batter avg=0.15, batter pos=5 vs. batter pos=9 [p=7.237481516249173e-28]\n",
      "sig diff: batter avg=0.15, batter pos=6 vs. batter pos=8 [p=5.940356459903494e-06]\n",
      "sig diff: batter avg=0.15, batter pos=6 vs. batter pos=9 [p=4.351690466180415e-17]\n",
      "sig diff: batter avg=0.15, batter pos=7 vs. batter pos=9 [p=2.610584051321233e-09]\n",
      "sig diff: batter avg=0.2, batter pos=1 vs. batter pos=9 [p=3.76689328874521e-08]\n",
      "sig diff: batter avg=0.2, batter pos=2 vs. batter pos=8 [p=5.205859940162342e-06]\n",
      "sig diff: batter avg=0.2, batter pos=2 vs. batter pos=9 [p=1.2174761546450417e-10]\n",
      "sig diff: batter avg=0.2, batter pos=3 vs. batter pos=9 [p=7.448777734010058e-07]\n",
      "sig diff: batter avg=0.2, batter pos=4 vs. batter pos=9 [p=4.803472139153211e-08]\n",
      "sig diff: batter avg=0.2, batter pos=5 vs. batter pos=7 [p=2.4459594614199587e-06]\n",
      "sig diff: batter avg=0.2, batter pos=5 vs. batter pos=8 [p=7.626491206096117e-07]\n",
      "sig diff: batter avg=0.2, batter pos=5 vs. batter pos=9 [p=8.845036615126957e-12]\n",
      "sig diff: batter avg=0.3, batter pos=1 vs. batter pos=7 [p=4.087726662547383e-09]\n",
      "sig diff: batter avg=0.3, batter pos=1 vs. batter pos=8 [p=1.3205738706976753e-09]\n",
      "sig diff: batter avg=0.3, batter pos=1 vs. batter pos=9 [p=1.0290332194299952e-15]\n",
      "sig diff: batter avg=0.3, batter pos=2 vs. batter pos=7 [p=9.480606656615423e-07]\n",
      "sig diff: batter avg=0.3, batter pos=2 vs. batter pos=8 [p=3.633806148920251e-07]\n",
      "sig diff: batter avg=0.3, batter pos=2 vs. batter pos=9 [p=1.8419919798882447e-12]\n",
      "sig diff: batter avg=0.3, batter pos=3 vs. batter pos=9 [p=2.3167418309385654e-10]\n",
      "sig diff: batter avg=0.3, batter pos=4 vs. batter pos=7 [p=7.55298575627675e-06]\n",
      "sig diff: batter avg=0.3, batter pos=4 vs. batter pos=8 [p=3.1216536518845004e-06]\n",
      "sig diff: batter avg=0.3, batter pos=4 vs. batter pos=9 [p=3.5434170853752895e-11]\n",
      "sig diff: batter avg=0.3, batter pos=5 vs. batter pos=8 [p=5.911151637054599e-06]\n",
      "sig diff: batter avg=0.3, batter pos=5 vs. batter pos=9 [p=8.765394985228765e-11]\n",
      "sig diff: batter avg=0.35, batter pos=1 vs. batter pos=6 [p=1.7269273863841656e-12]\n",
      "sig diff: batter avg=0.35, batter pos=1 vs. batter pos=7 [p=1.0342126228400915e-19]\n",
      "sig diff: batter avg=0.35, batter pos=1 vs. batter pos=8 [p=2.8883476180027313e-26]\n",
      "sig diff: batter avg=0.35, batter pos=1 vs. batter pos=9 [p=1.0533809552536307e-44]\n",
      "sig diff: batter avg=0.35, batter pos=2 vs. batter pos=7 [p=6.177648266053254e-08]\n",
      "sig diff: batter avg=0.35, batter pos=2 vs. batter pos=8 [p=3.9592132643227364e-12]\n",
      "sig diff: batter avg=0.35, batter pos=2 vs. batter pos=9 [p=3.60635063988907e-25]\n",
      "sig diff: batter avg=0.35, batter pos=3 vs. batter pos=7 [p=2.092547777615177e-06]\n",
      "sig diff: batter avg=0.35, batter pos=3 vs. batter pos=8 [p=3.601328161213642e-10]\n",
      "sig diff: batter avg=0.35, batter pos=3 vs. batter pos=9 [p=3.1411817736944074e-22]\n",
      "sig diff: batter avg=0.35, batter pos=4 vs. batter pos=6 [p=3.8732703941556835e-10]\n",
      "sig diff: batter avg=0.35, batter pos=4 vs. batter pos=7 [p=1.1262407382894222e-16]\n",
      "sig diff: batter avg=0.35, batter pos=4 vs. batter pos=8 [p=1.0286309709980345e-22]\n",
      "sig diff: batter avg=0.35, batter pos=4 vs. batter pos=9 [p=5.3593257566914e-40]\n",
      "sig diff: batter avg=0.35, batter pos=5 vs. batter pos=7 [p=4.938191614284398e-10]\n",
      "sig diff: batter avg=0.35, batter pos=5 vs. batter pos=8 [p=9.606821714815804e-15]\n",
      "sig diff: batter avg=0.35, batter pos=5 vs. batter pos=9 [p=5.513759189984902e-29]\n",
      "sig diff: batter avg=0.35, batter pos=6 vs. batter pos=9 [p=2.7471407448075344e-12]\n",
      "sig diff: batter avg=0.35, batter pos=7 vs. batter pos=9 [p=7.161732780696792e-07]\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import ranksums\n",
    "from itertools import product\n",
    "\n",
    "for hitter_avg1, hitter_spot1, hitter_avg2, hitter_spot2 in product([0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9), [0.1, 0.15, 0.2, 0.25, 0.3, 0.35], range(9)):\n",
    "    if hitter_avg1 != hitter_avg2:\n",
    "        continue\n",
    "    if hitter_spot1 > hitter_spot2:\n",
    "        continue\n",
    "    if hitter_avg1 == hitter_avg2 and hitter_spot1 == hitter_spot2:\n",
    "        continue\n",
    "    statistic, pval = ranksums(hitter_spot_scores[(hitter_avg1, hitter_spot1)], hitter_spot_scores[(hitter_avg2, hitter_spot2)])\n",
    "    if pval < 1e-5:\n",
    "        print('sig diff: batter avg={}, batter pos={} vs. batter pos={} [p={}]'.format(hitter_avg1, hitter_spot1 + 1, hitter_spot2 + 1, pval))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "batters = [0.25] * 9\n",
    "num_simulated_games = 1000000\n",
    "aprun = ParallelExecutor(n_jobs=-1, use_bar=False)\n",
    "average_team_stats = [game_stats for _, game_stats in aprun(total=num_simulated_games)(delayed(simulate_game)(batters) for _ in range(num_simulated_games))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 219,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batting_stat = 'At Bat'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "\n",
    "with plt.style.context('tableau10'):\n",
    "    plt.figure()\n",
    "    plt.bar(range(len(hitter_spot_avgs)), hitter_spot_avgs, color='#9467BD')\n",
    "    batting_stat += 's per Game'\n",
    "    plt.ylabel(batting_stat)\n",
    "    plt.xticks(range(9), [str(x) for x in range(1, 10)])\n",
    "    plt.xlabel('Batting Position')\n",
    "    plt.title('Earlier batters have more At Bats on average')\n",
    "    plt.text(-1.3, -0.75, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "    plt.savefig('mlb-batting-order-stats-{}.png'.format(batting_stat.replace(' ', '-')), bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[4.419502,\n",
       " 4.31038,\n",
       " 4.212098,\n",
       " 4.118346,\n",
       " 4.0211,\n",
       " 3.913748,\n",
       " 3.79499,\n",
       " 3.667696,\n",
       " 3.53981]"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batting_stat = 'At Bat'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "hitter_spot_avgs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batting_stat = 'Players On Base'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "\n",
    "with plt.style.context('tableau10'):\n",
    "    plt.figure()\n",
    "    plt.bar(range(len(hitter_spot_avgs)), hitter_spot_avgs, color='#9467BD')\n",
    "    batting_stat += ' per Game'\n",
    "    plt.ylabel(batting_stat)\n",
    "    plt.xticks(range(9), [str(x) for x in range(1, 10)])\n",
    "    plt.xlabel('Batting Position')\n",
    "    plt.title('Middle batters tend to have more players on base when batting')\n",
    "    plt.text(-1.5, -0.4, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "    plt.savefig('mlb-batting-order-stats-{}.png'.format(batting_stat.replace(' ', '-')), bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 222,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batting_stat = 'RBI'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "\n",
    "with plt.style.context('tableau10'):\n",
    "    plt.figure()\n",
    "    plt.bar(range(len(hitter_spot_avgs)), hitter_spot_avgs, color='#9467BD')\n",
    "    batting_stat += ' per Game'\n",
    "    plt.ylabel(batting_stat)\n",
    "    plt.xticks(range(9), [str(x) for x in range(1, 10)])\n",
    "    plt.xlabel('Batting Position')\n",
    "    plt.title('Middle batters tend to contribute more RBI')\n",
    "    plt.text(-1.6, -0.06, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "    plt.savefig('mlb-batting-order-stats-{}.png'.format(batting_stat.replace(' ', '-')), bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.300596,\n",
       " 0.305068,\n",
       " 0.311784,\n",
       " 0.321964,\n",
       " 0.317941,\n",
       " 0.299361,\n",
       " 0.292952,\n",
       " 0.287004,\n",
       " 0.27537]"
      ]
     },
     "execution_count": 225,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batting_stat = 'RBI'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "hitter_spot_avgs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 223,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batting_stat = 'Bases Loaded'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "\n",
    "with plt.style.context('tableau10'):\n",
    "    plt.figure()\n",
    "    plt.bar(range(len(hitter_spot_avgs)), hitter_spot_avgs, color='#9467BD')\n",
    "    batting_stat += ' per Game'\n",
    "    plt.ylabel(batting_stat)\n",
    "    plt.xticks(range(9), [str(x) for x in range(1, 10)])\n",
    "    plt.xlabel('Batting Position')\n",
    "    plt.title('The 6th batter is most likely to face a Bases Loaded situation')\n",
    "    plt.text(-1.6, -0.013, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "    plt.savefig('mlb-batting-order-stats-{}.png'.format(batting_stat.replace(' ', '-')), bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "''"
      ]
     },
     "execution_count": 224,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batting_stat = 'Grand Slam'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "\n",
    "with plt.style.context('tableau10'):\n",
    "    plt.figure()\n",
    "    plt.bar(range(len(hitter_spot_avgs)), hitter_spot_avgs, color='#9467BD')\n",
    "    batting_stat += 's per Game'\n",
    "    plt.ylabel(batting_stat)\n",
    "    plt.xticks(range(9), [str(x) for x in range(1, 10)])\n",
    "    plt.xlabel('Batting Position')\n",
    "    plt.title('The 6th batter is most likely to hit a Grand Slam')\n",
    "    plt.text(-1.85, -0.0005, 'Data source: League averages & custom baseball simulations\\nAuthor: Randal S. Olson (randalolson.com / @randal_olson)', fontsize=10, ha='left')\n",
    "    plt.savefig('mlb-batting-order-stats-{}.png'.format(batting_stat.replace(' ', '-')), bbox_inches='tight')\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.001948,\n",
       " 0.001837,\n",
       " 0.001915,\n",
       " 0.001929,\n",
       " 0.002284,\n",
       " 0.002683,\n",
       " 0.002059,\n",
       " 0.001988,\n",
       " 0.002107]"
      ]
     },
     "execution_count": 226,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batting_stat = 'Grand Slam'\n",
    "hitter_spot_avgs = []\n",
    "for hitter_spot in range(9):\n",
    "    hitter_spot_avgs.append(np.mean([game_stats[hitter_spot][batting_stat] for game_stats in average_team_stats]))\n",
    "hitter_spot_avgs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
